The main property of a discrete joint probability distribution can be stated as the sum of all non-zero probabilities is 1. The next line shows this as a formula. The marginal distribution of X can be ...

The authors analyze the validity of the uniform model for the marginal probability density function (PDF) of granular quantization error (QE) in a uniform quantizer, subjected to random input signals.

As explained below, the equivalent quantum-mechanical operation of the reduction of a classical system from configuration space to a three-dimensional space is the calculation of the marginal ...

Probability density functions and distribution functions calculated based on the wave function are denoted by Greek letters, while probability density functions and distribution functions of a mass ...

The impact of signal intensity on ASE noise induces fluctuations to the both curves of ASE noise and nonlinear phase shift as functions of time, respectively. Furthermore, it results in the ...

This analysis provides a discrete probability density function for measured Turbine ON and Turbine OFF levels, and is then used to infer a discrete probability density function for the Turbine ONLY ...

Building on the widely-used double-lognormal approach by Bahra (1997), this paper presents a multi-lognormal approach with restrictions to extract risk-neutral probability density functions (RNPs) for ...